Search a number
-
+
406046704 = 24722715971
BaseRepresentation
bin11000001100111…
…100011111110000
31001022001022100211
4120030330133300
51312421443304
6104142553504
713030224430
oct3014743760
91038038324
10406046704
11199225998
12b3b98894
136617a92b
143bcda2c0
15259aa204
hex1833c7f0

406046704 has 40 divisors (see below), whose sum is σ = 903120768. Its totient is φ = 173242560.

The previous prime is 406046699. The next prime is 406046713. The reversal of 406046704 is 407640604.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17439 + ... + 33409.

Almost surely, 2406046704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406046704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451560384).

406046704 is an abundant number, since it is smaller than the sum of its proper divisors (497074064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406046704 is a wasteful number, since it uses less digits than its factorization.

406046704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16213 (or 16207 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 406046704 is about 20150.6005865830. The cubic root of 406046704 is about 740.5004552371.

The spelling of 406046704 in words is "four hundred six million, forty-six thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 454 908 1589 1816 3178 3632 6356 12712 15971 25424 31942 63884 111797 127768 223594 255536 447188 894376 1788752 3625417 7250834 14501668 25377919 29003336 50755838 58006672 101511676 203023352 406046704